Homogenization of a pseudoparabolic system

نویسندگان

  • Malgorzata Peszyńska
  • Ralph Showalter
  • Son-Young Yi
چکیده

Pseudoparabolic equations in periodic media are homogenized to obtain upscaled limits by asymptotic expansions and two-scale convergence. The limit is characterized and convergence is established in various linear cases for both the classical binary medium model and the highly heterogeneous case. The limit of vanishing time-delay parameter in either medium is included. The double-porosity limit of Richards’ equation with dynamic capillary pressure is obtained.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Error estimation for nonlinear pseudoparabolic equations with nonlocal boundary conditions in reproducing kernel space

In this paper we discuss about nonlinear pseudoparabolic equations with nonlocal boundary conditions and their results. An effective error estimation for this method altough has not yet been discussed. The aim of this paper is to fill this gap.

متن کامل

Initial-boundary Value Problems for Nonlinear Pseudoparabolic Equations in a Critical Case

We study nonlinear pseudoparabolic equations, on the half-line in a critical case, ∂t(u− uxx)− αuxx = λ|u|u, x ∈ R, t > 0, u(0, x) = u0(x), x ∈ R, u(t, 0) = 0, where α > 0, λ ∈ R. The aim of this paper is to prove the existence of global solutions to the initial-boundary value problem and to find the main term of the asymptotic representation of solutions.

متن کامل

THE NONPOSinVITY OF SOLUTIONS TO PSEUDOPARABOLIC EQUATIONS

Conditions are given on the nonnegative data «jc) and g{x, t) such that solutions of the pseudoparabolic inequality P[u] =» (L I)u, + Lu < 0 in Dx (0, t)

متن کامل

Solution to a Transmission Problem for Quasilinear Pseudoparabolic Equations by the Rothe Method

In this paper, we deal with a transmission problem for a class of quasilinear pseudoparabolic equations. Existence, uniqueness and continuous dependence of the solution upon the data are obtained via the Rothe method. Moreover, the convergence of the method and an error estimate of the approximations are established.

متن کامل

Design and evaluate alginate nanoparticles as a protein delivery system

In recent years, encapsulation of drugs and antigens in hydrogels, specifically in calcium alginate particles, is an interesting and practical technique that was developed widespread. It is well known that alginate solution, under proper conditions, can form suitable nanoparticles as a promising carrier system, for vaccine delivery. The aim of this study was to synthesis alginate nanoparticles ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008